10024800552 has 96 divisors (see below), whose sum is σ = 29408488200. Its totient is φ = 3066674688.

The previous prime is 10024800547. The next prime is 10024800557. The reversal of 10024800552 is 25500842001.

It is a happy number.

10024800552 is a `hidden beast` number, since 10 + 0 + 24 + 80 + 0 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (10024800547) and next prime (10024800557).

It can be written as a sum of positive squares in 4 ways, for example, as 9966827556 + 57972996 = 99834^2 + 7614^2 .

It is a super-2 number, since 2×10024800552² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10024800557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130974 + ... + 192882.

Almost surely, 2^10024800552 is an apocalyptic number.

10024800552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10024800552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14704244100).

10024800552 is an abundant number, since it is smaller than the sum of its proper divisors (19383687648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10024800552 is a wasteful number, since it uses less digits than its factorization.

10024800552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62107 (or 62100 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 10024800552 in words is "ten billion, twenty-four million, eight hundred thousand, five hundred fifty-two".